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468926472 = 233722831409
BaseRepresentation
bin11011111100110…
…100000000001000
31012200100221012010
4123330310000020
51430021121342
6114310415520
714422544400
oct3374640010
91180327163
10468926472
11220773443
121110615a0
13761c55b1
14463c7800
152b27b29c
hex1bf34008

468926472 has 96 divisors (see below), whose sum is σ = 1369504800. Its totient is φ = 133410816.

The previous prime is 468926417. The next prime is 468926489. The reversal of 468926472 is 274629864.

It is a super-2 number, since 2×4689264722 = 439784072284733568, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332104 + ... + 333512.

It is an arithmetic number, because the mean of its divisors is an integer number (14265675).

Almost surely, 2468926472 is an apocalyptic number.

468926472 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468926472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684752400).

468926472 is an abundant number, since it is smaller than the sum of its proper divisors (900578328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

468926472 is a wasteful number, since it uses less digits than its factorization.

468926472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1704 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 468926472 is about 21654.7101573768. The cubic root of 468926472 is about 776.9055968418.

The spelling of 468926472 in words is "four hundred sixty-eight million, nine hundred twenty-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 283 294 392 566 588 849 1132 1176 1409 1698 1981 2264 2818 3396 3962 4227 5636 5943 6792 7924 8454 9863 11272 11886 13867 15848 16908 19726 23772 27734 29589 33816 39452 41601 47544 55468 59178 69041 78904 83202 110936 118356 138082 166404 207123 236712 276164 332808 398747 414246 552328 797494 828492 1196241 1594988 1656984 2392482 2791229 3189976 4784964 5582458 8373687 9569928 11164916 16747374 19538603 22329832 33494748 39077206 58615809 66989496 78154412 117231618 156308824 234463236 468926472